5 citations · 6 across the 5 of their papers we have counts for
11 papers
On -series for principal characters of standard -modules
Shashank Kanade, Matthew C. Russell
We present sum-sides for principal characters of all standard (i.e., integrable and highest-weight) irreducible modules for the affine Lie algebra . We use modifications…
at level
Shashank Kanade
Let be the simple vertex operator algebra based on the affine Lie algebra at boundary admissible lev…
Braided Tensor Categories related to Vertex Algebras
Jean Auger, Thomas Creutzig, Shashank Kanade +1
The -algebras are a family of vertex operator algebras parameterized by . They are important examples of logarithmic CFTs and appear as chir…
Searching for modular companions
Shashank Kanade
In this note, we report on the results of a computer search performed to find possible modular companions to certain -series identities and conjectures. For the search, we use c…
A variant of and some new identities of Rogers-Ramanujan-MacMahon type
Shashank Kanade, Debajyoti Nandi, Matthew C. Russell
We report on findings of a variant of - a Maple program that was used by two of the authors to conjecture several new identities of Rogers-Ramanujan kin…
NGK and HLZ: fusion for physicists and mathematicians
Shashank Kanade, David Ridout
In this expository note, we compare the fusion product of conformal field theory, as defined by Gaberdiel and used in the Nahm-Gaberdiel-Kausch (NGK) algorithm, with the -ten…